On a coarse-grained continuous description active gel models have shown to reproduce significant mechanical features, see e.g. [1]} for a review. First attempts to formulate and simulate these models on surfaces also exist [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}. However, most of these approaches are restricted to axisymmetric surfaces or intrinsic coupling terms with the geometry. For the effect of additional extrinsic coupling terms we refer to [9]}, [8]}, [11]}, [12]}. Furthermore, these coarse-grained models do not allow to analyse the spatiotemporal arrangements and shapes of the cells.
